I was studying for my trigonometry test, a subject where I am usually very strong at, however I came across this questions and simply have no idea how to go about solving for m and n.
The question is as followed:
The diagram below shows the graph of $y = x\sin(x/3)$, for $0<x<m$, and $0<y<n$, where $x$ is in radians and $m$ and $n$ are integers.
Find the values of;
a.) $m$ and $n$
I found that the functions hits the x-axis at $3\pi$ and has a period of $6\pi$ however then I do not know what to do.Also the diagram may not be clear but on the x axis it shows 2 point: $m-1$ and $m$, while on the y-axis it shows: $n-1$ and $n$.
Thank you in advance.